While I do wish we had more info, I get the feeling that's coming soon enough. If they have to delay the game to next year, it'll probably be early 2015. Let's hope that doesn't happen, because it would hurt sales--people don't have as much money to spend right after Christmas.
Ideally it will be out a month or two before Christmas, so that they can get the pre-Christmas sales boost. With any luck, 2014 will be as good a year for games as 2010 was. The last few years haven't had as many games I, personally, have been interested in--aside from the handful of indie games. But most of those, due to budget restrictions etc., are more casual.
Nothing I've seen or heard suggests that Bioware is off target on DAI's time frame. They may end up cutting some last-minute unpolished content to make the date, but at that point it shouldn't be anything related to the main quest line. I think they learned their lesson about getting the ending done right and on time, and not rushing the main part of the game. Bioware isn't Bethesda: we'll most likely be more interested in the main storyline than in side quests.
And if Bioware ends up in competition with Witcher 3? I will buy Inquisition first and grab Witcher 3 when it's on sale. Like previous posters, I'm not as eager to pick up a game that doesn't let me play as a woman--it usually means that the game will be heavily "masculinized," in other words a lot of oversexualizing females for the male audience. That's not something I'm a fan of. Although I own both Witcher games, I have never played the second and barely done anything with the first, due to the way it treats women. Does every lady ever have to throw herself at him? And are the nude card "trophies" necessary at all? I think not on both...
If EA does delay DA:I, though, they do have games they can fall back on. They will probably have expansions or in-game purchases for Titanfall by then, for one thing. They are also intending to release the Sims 4 toward the end of the year--and the Sims has always been a huge seller, if not EA's best seller. Much like DA:I, there hasn't been too much information released about Sims 4 either. That said if either game gets delayed, I'd be more inclined to say DAI would release on time than Sims 4.